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- W3125761330 abstract "The following properties of the core of a one well-known: (i) the core is non-empty; (ii) the core is a lattice; and (iii) the set of unmatched agents is identical for any two matchings belonging to the core. The literature on two-sided matching focuses almost exclusively on the core and studies extensively its properties. Our main result is the following characterization of (von Neumann-Morgenstern) stable sets in one-to-one matching problem only if it is a maximal set satisfying the following properties : (a) the core is a subset of the set; (b) the set is a lattice; (c) the set of unmatched agents is identical for any two matchings belonging to the set. Furthermore, a set is a stable set if it is the unique maximal set satisfying properties (a), (b) and (c). We also show that our main result does not extend from one-to-one matching problems to many-to-one matching problems." @default.
- W3125761330 created "2021-02-01" @default.
- W3125761330 creator A5088285956 @default.
- W3125761330 date "2005-01-01" @default.
- W3125761330 modified "2023-10-03" @default.
- W3125761330 title "Von Neumann-Morgenstern Stable Sets in Matching Problems" @default.
- W3125761330 hasPublicationYear "2005" @default.
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